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Showing 21 to 23 of 23 (0.117 seconds)Spelling suggestions: "subject:"elastischen deformation""
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Kirchhoff Plates and Large DeformationRückert, Jens, Meyer, Arnd 19 October 2012 (has links)
In the simulation of deformations of plates it is well known that we have to use a special treatment of the thickness dependence. Therewith we achieve a reduction of dimension from 3D to 2D. For linear elasticity and small deformations several techniques are well established to handle the reduction of dimension and achieve acceptable numerical results. In the case of large deformations of plates with non-linear material behaviour there exist different problems. For example the analytical integration over the thickness of the plate is not possible due to the non-linearities arising from the material law and the large deformations themselves. There are several possibilities to introduce a hypothesis for the treatment of the plate thickness from the strong Kirchhoff assumption on one hand up to some hierarchical approaches on the other hand.:1. Introduction
2. The 3D-deformation energy
3. Basic differential geometry of shells
4. Kirchhoff assumption and the deformed plate
5. Plate energy and boundary conditions
6. Numerical example
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The linear Naghdi shell equation in a coordinate free descriptionMeyer, Arnd 12 November 2013 (has links)
We give an alternate description of the usual shell equation that does not depend on the special mid surface coordinates, but uses differential operators defined on the mid surface.:1 Introduction
2 Basic differential geometry
3 The strain tensor and its simplifications
4 The resulting shell energy
5 Introducing the Kirchhoff-Hypothesis towards Koiter-shell
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Kugeleindruckversuch in geschichtete MaterialienSchwarzer, Norbert 08 May 1998 (has links)
Es wird das elastische Feld, das von einem Indentor mit sphärischer Oberfläche i n einem geschichtet aufgebauten Probekörper erzeugt wird, berechnet. Dabei wird neben der Normalkomponente, die bereits in der bekannten Hertzschen L ösung näherungsweise berücksichtigt wird, auch das elastische Feld der Tangentia lkomponente für kleine Winkel zwischen Indentordruckkraft und deren Normalkompon ente betrachtet. Die zwischen Indentor und Probekörper bestehende Reibung führt zu zusätzlichen Zwangskräften, deren elastische Felder ebenfalls abgeleitet werd en. Mit Hilfe eines Ansatzes für die Lösung der Laplace-Gleichung in inhomogenen Räumen, der durch Anwendung der Methode der Spiegel- oder Bildladungen der Pote ntialtheorie erhalten wird, werden unter Anwendung der Potentialmethode Lösungen für den sphärischen Indentorversuch in geschichtete Probekörper entwickelt.
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